Critical comparison of three modal methods: bidirectional eigenmode expansion propagation method, aperiodic rigorous coupled mode analysis, and harmonic expansion method

Jirí Ctyroký; Ivan Richter; Pavel Kwiecien

doi:10.1117/12.806719

12 August 2008 Critical comparison of three modal methods: bidirectional eigenmode expansion propagation method, aperiodic rigorous coupled mode analysis, and harmonic expansion method

Jirí Ctyroký, Ivan Richter, Pavel Kwiecien

Author Affiliations +

Proceedings Volume 7099, Photonics North 2008; 70991K (2008) https://doi.org/10.1117/12.806719
Event: Photonics North 2008, 2008, Montréal, Canada

Abstract

The performance of three bidirectional modal methods the "classical" bidirectional eigenmode expansion propagation method, the aperiodic rigorous coupled wave analysis (known also as the Fourier modal method), and the mode expansion method based on harmonic expansion are mutually compared using modeling tasks that include eigenmode calculation of a relatively high-contrast planar waveguide, spectral transmittance of a one-dimensional "photonic crystal" filter in a photonic wire, spectral transmittance of a surface plasmon based optical sensor, and a reflectance from a double-groove structure in a high-contrast waveguide. All methods exhibit generally comparable performance, as follows from good mutual agreement of the results and generally comparable computational time. Although all methods use perfectly matched layers as absorbing boundary conditions, their implementation in the aperiodic rigorous coupled wave analysis exhibits significantly stronger attenuation than that used in the other two methods. Thus, significant improvement of the latter methods seems possible.

Citation Download Citation

Jirí Ctyroký, Ivan Richter, and Pavel Kwiecien "Critical comparison of three modal methods: bidirectional eigenmode expansion propagation method, aperiodic rigorous coupled mode analysis, and harmonic expansion method", Proc. SPIE 7099, Photonics North 2008, 70991K (12 August 2008); https://doi.org/10.1117/12.806719

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